Question

Choose the possible word problem for the given expression: $\frac{1}{3}÷6$

• A. $\frac{1}{3}\text{kg}$ of flour is required to make one batch of muffins. If there are $18$ batches then, how much flour is needed?
  
• B. $\frac{1}{3}\text{kg}$ of flour is required to bake $6$ batches of muffins. How much flour will be required for one batch?
• C. $6\text{kg}$ flour is required to make some muffins. If
  $\frac{1}{3}\text{kg}$ of flour is required to make one muffin, how much flour is required for six muffins?
  
• D. $\frac{1}{3}\text{kg}$ of flour is required to make one batch of muffins. How many batches can be prepared with $6\text{kg}$ of flour?

Answer 1

The correct option is B $\frac{1}{3}\text{kg}$ of flour is required to bake $6$ batches of muffins. How much flour will be required for one batch?


The fraction is $\frac{1}{3}$.
$\frac{1}{3}$ is divided into $6$ parts.
So, $\frac{1}{3}÷6=\frac{1}{18}$
Total mass of flour $=\frac{1}{3}\text{kg}$
Number of batches $=6$
Mass of flour required for one batch = Mass of total flour $÷$ number of batches

$=\frac{1}{3}÷6$
This expression gives the mass of flour required to divide
$\frac{1}{3}\text{kg}$ of flour equally in $6$ batches.

Option A:
Total mass of flour $=\frac{1}{3}\text{kg}$
Number of batches $=6$
Mass of flour required for one batch = Mass of total flour $÷$ number of batches
$=\frac{1}{3}÷6$
So, Option A matches with the given expression.
Hence, Option A is correct.

Option B:
$\frac{1}{3}\text{kg}$ of flour is required to make one batch of muffins. How many batches can be prepared with $6\text{kg}$ of flour?
Mass of flour required for one batch $=\frac{1}{3}\text{kg}$
Total mass of flour $=6\text{kg}$
Number of batches that can be prepared = Total amount of flour $÷$ Flour required for one batch
$=6÷\frac{1}{3}$
So, Option B does not match with the given expression.

Option C:
Total mass of the flour $=6\text{kg}$
Flour required for one muffin $=\frac{1}{3}\text{kg}$
So, the mass of flour required for six muffins $=6\times \frac{1}{3}\text{kg}$
Option C does not match the given expression.

Option D:
Flour required for one batch $=\frac{1}{3}\text{kg}$
Number of batches $=18$
Total amount of flour = Flour required for one batch $\times$ Number of batches
$=\frac{1}{3}\times 18$
Option D does not match with the given expression.
Hence, Option A is correct.